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Finding the Third Proportional to 2,431,372.50 and 5,290,857

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Solution

The third proportional to 2,431,372.50 and 5,290,857 is: 11,513,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,372.50 : 5,290,857 = 5,290,857 : x
  2. Step 2: Convert to fraction form
    2,431,372.50/5,290,857 = 5,290,857/x
  3. Step 3: Cross multiply
    2,431,372.50x = 5,290,857 × 5,290,857
  4. Step 4: Simplify right side
    2,431,372.50x = 27,993,167,794,449
  5. Step 5: Solve for x
    x = 27,993,167,794,449/2,431,372.50
  6. Step 6: Final answer
    x = 11,513,319.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.